RT info:eu-repo/semantics/article T1 Wobbling kinks and shape mode interactions in a coupled two-component ϕ4 theory A1 Alonso Izquierdo, Alberto A1 Miguélez Caballero, David A1 Nieto Calzada, Luis Miguel K1 Radiación K1 Física K1 ϕ4 theory K1 Radiation K1 Longitudinal and orthogonal modes K1 Teoría de ϕ4 K1 Radiación K1 Modos longitudinales y ortogonales K1 2207.03 Física Atómica AB The dynamics of a wobbling kink in a two-component coupled scalar field theory (with an excited orthogonal shape mode) is addressed. For this purpose, the vibration spectrum of the second order small kink fluctuation is studied in order to find the corresponding vibration modes associated to the first (longitudinal) and second (orthogonal) field components. By means of this analysis, it was found that the number of possible shape modes depends on the value of the coupling constant. It is notable that when one of the orthogonal field shape modes is initially triggered, the unique shape mode of the longitudinal field is also activated. This coupling causes the kink to emit radiation with twice the frequency of excited mode in the first field component. Meanwhile, in the orthogonal channel we find radiation with two different frequencies: one is three times the frequency of the orthogonal wobbling mode and another is the sum of the frequencies of the longitudinal shape mode and the triggered mode. All the analytical results obtained in this study have been successfully contrasted with those obtained through numerical simulations. PB Elsevier SN 0960-0779 YR 2024 FD 2024 LK https://uvadoc.uva.es/handle/10324/63672 UL https://uvadoc.uva.es/handle/10324/63672 LA eng NO Chaos, Solitons & Fractals, 2024, vol. 178, 114373 NO Producción Científica DS UVaDOC RD 07-ago-2024